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Finding the Third Proportional to 137.75 and 159.50

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Solution

The third proportional to 137.75 and 159.50 is: 184.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.75 : 159.50 = 159.50 : x
  2. Step 2: Convert to fraction form
    137.75/159.50 = 159.50/x
  3. Step 3: Cross multiply
    137.75x = 159.50 × 159.50
  4. Step 4: Simplify right side
    137.75x = 25,440.25
  5. Step 5: Solve for x
    x = 25,440.25/137.75
  6. Step 6: Final answer
    x = 184.68

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.